Question

Let = –5x + 3 and g(x) = 6x – 2. Find f • g and its domain. (1 point)

–30x2 + 28x – 6; all real numbers except x =
–15x2 – 8x – 12; all real numbers except x =
–30x2 + 28x – 6; all real numbers
–15x2 – 8x – 12; all real numbers

Answer 1

\[f \cdot g\]
means just multiply the given functions..

Answer 2

So just do this:

\[f \cdot g = (-5x + 3)(6x-2)\]

Answer 3

the combine like terms?

Answer 4

You know about FOIL..??

Answer 5

yea

Answer 6

-30x+10+18-6?

Answer 7

It will be:

-30x^2 + 10x + 18x - 6

Now combine like terms..

Answer 8

–30x2 + 28x – 6;

Answer 9

Yep..

Answer 10

does x=1/3?

Answer 11

Here, you have to find domain, that is value of x for which -30x^2 + 28x - 6 will become undefined..

So, is there any value??

Answer 12

no

Answer 13

Yep..

So, domain is All Reals..